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Lecturer(s)
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Zahrádka Jaromír, RNDr. Ph.D.
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Pacáková Viera, prof. RNDr. Ph.D.
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Seinerová Kateřina, Ing.
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Jindrová Pavla, Mgr. Ph.D.
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Papoušková Monika, Ing.
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Course content
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Characteristics of basic generally used mortality tables. Calculation of mortality rates and other decrements. Theoretical aspects of the point and interval estimation of the mortality rates in mortality population tables. Mortality models - binomial and Poisson with regard to its application in the life insurance. Graduation methods: graphical, analytical and standard table method. Non-parametric and spleeny graduation methods. Graduation significance and its quality assessment methods - Chi quadrate test, sign test, cumulative deviation test and sign conversion test. Procedures of the life expectancy estimation: Kaplan-Meier survival analysis. Analysis of the Cox's proportional hazard model. Statistic models of the transition between several states, e.g. alive, sick, dead. Relations between probabilities and transition intensities, estimation of the parameters of these models.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with text (with textbook, with book), Demonstration, Projection, Skills training
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Learning outcomes
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The aim of the course is to interpret basic issues of the actuarial demography and methods of its solving. The course acquaints the students with the mortality rate and mortality models in relation to its application in the life insurance. Great deal is dedicated to the mortality rate graduation methods (smoothing), its applications and quality graduation results testing. Furthermore, the course interprets methods estimating life expectancy and regression models of the survival probability, function of risks and life expectancy with the application in the life insurance.
Student acquires necessary theoretical knowledge and computational acquirements in Excelu and in suitable statistical program system for construction of mortality tables, graduation of mortality measures , simulation of lifetime length and survival probability
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Prerequisites
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Prerequisite for successful mastering of this subject is knowledge of mathematics, probability theory and statistics within the range taught at universities.
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Assessment methods and criteria
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Home assignment evaluation, Student performance assessment, Work-related product analysis, Systematic monitoring
Assignment-completion of all given tasks and passing the written test.
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Recommended literature
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Benjamin B., Pollard S.H. The Analysis of Mortality and Other Actuarial Statistics. Londýn Institute of Actuaries, 1993.
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Cipra, Tomáš. Pojistná matematika : teorie a praxe. Praha: Ekopress, 2006. ISBN 80-86929-11-6.
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DICKSON, D. C. M., HARDY, M. R., WATERS, H. R.:. Actuarial Mathematics for Life Contingent Risks. CAMBRIDGE University Press, 2009.
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Fiala T. Výpočty aktuárské demografie v tabulkovém procesoru. Praha VŠE, 2005.
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Koschin F. Aktuárská demografie. VŠE Praha, 2002.
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Sekerka B. Matematické a statistické metody ve financování, cenných papírech a pojištění. Profess Consulting Praha, 2002.
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